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Finding the Third Proportional to 203,840 and 479,624

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Solution

The third proportional to 203,840 and 479,624 is: 1,128,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,840 : 479,624 = 479,624 : x
  2. Step 2: Convert to fraction form
    203,840/479,624 = 479,624/x
  3. Step 3: Cross multiply
    203,840x = 479,624 × 479,624
  4. Step 4: Simplify right side
    203,840x = 230,039,181,376
  5. Step 5: Solve for x
    x = 230,039,181,376/203,840
  6. Step 6: Final answer
    x = 1,128,528.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.